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Finding the Fourth Proportional to 1,920.84, 2,881.18 and 515.26

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Solution

The fourth proportional to 1,920.84, 2,881.18 and 515.26 is: 772.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,920.84 : 2,881.18 = 515.26 : x
  2. Step 2: Convert to fraction form
    1,920.84/2,881.18 = 515.26/x
  3. Step 3: Cross multiply
    1,920.84x = 2,881.18 × 515.26
  4. Step 4: Simplify right side
    1,920.84x = 1,484,552.44
  5. Step 5: Solve for x
    x = 1,484,552.44/1,920.84
  6. Step 6: Final answer
    x = 772.87

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.